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Simplifying 2(-7 + y + 2z) + -3 + -2z = -4 (-7 * 2 + y * 2 + 2z * 2) + -3 + -2z = -4 (-14 + 2y + 4z) + -3 + -2z = -4 Reorder the terms: -14 + -3 + 2y + 4z + -2z = -4 Combine like terms: -14 + -3 = -17 -17 + 2y + 4z + -2z = -4 Combine like terms: 4z + -2z = 2z -17 + 2y + 2z = -4 Solving -17 + 2y + 2z = -4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 2y + 17 + 2z = -4 + 17 Reorder the terms: -17 + 17 + 2y + 2z = -4 + 17 Combine like terms: -17 + 17 = 0 0 + 2y + 2z = -4 + 17 2y + 2z = -4 + 17 Combine like terms: -4 + 17 = 13 2y + 2z = 13 Add '-2z' to each side of the equation. 2y + 2z + -2z = 13 + -2z Combine like terms: 2z + -2z = 0 2y + 0 = 13 + -2z 2y = 13 + -2z Divide each side by '2'. y = 6.5 + -1z Simplifying y = 6.5 + -1z
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